117952632 has 128 divisors (see below), whose sum is σ = 377395200. Its totient is φ = 33436800.

The previous prime is 117952631. The next prime is 117952643. The reversal of 117952632 is 236259711.

117952632 is a `hidden beast` number, since 1 + 17 + 9 + 5 + 2 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117952631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273457 + ... + 273887.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2^117952632 is an apocalyptic number.

117952632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117952632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

117952632 is an abundant number, since it is smaller than the sum of its proper divisors (259442568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

117952632 is a wasteful number, since it uses less digits than its factorization.

117952632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 624 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 117952632 is about 10860.5999834263. The cubic root of 117952632 is about 490.4211733533.

The spelling of 117952632 in words is "one hundred seventeen million, nine hundred fifty-two thousand, six hundred thirty-two".